Question

3) Write the multiplicative inverse of 3² × 1/2³​

Answer 1

Answer:

ANSWER

Given imaginary number is

a=

2

3

​

​

−

2

1

​

i

multiplicative inverse(b) of a number(a) is defined by

a×b=1

or b=

a

1

​

hence,

b=

2

3

​

​

−

2

1

​

i

1

​

or

b=

3

​

−i

2

​

multiply and divide above equation by (

3

​

+i) we get

b=

(

3

​

−i)(

3

​

+i)

2(

3

​

+i)

​

b=

(3−i

2

)

2(

3

​

+i)

​

b=

(3+1)

2(

3

​

+i)

​

b=

4

2(

3

​

+i)

​

b=

2

3

​

+i

​

(multiplicative inverse of given number a)

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

HERE IS YOUR ANSWER ↓↓↓↓

Question → Write the multiplicative inverse of 3² × 1/2³

Answer →

$= {3}^{2} \times { \frac{1}{2} }^{3} \\ = 3 \times 3 \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \\ = 6 \times \frac{1}{8} \\ = \frac{6}{8} \\ multiple \: inverse \: of \: \frac{6}{8} = \frac{8}{6}$

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